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Conjectures about phase turbulence in the complex Ginzburg-Landau equation

✍ Scribed by G. Grinstein; C. Jayaprakash; R. Pandit

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
795 KB
Volume
90
Category
Article
ISSN
0167-2789

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## Abstract Spatially periodic equilibria __A__(__X, T__) = √1 βˆ’ __q__^2^ __e__ are the locally preferred planform for the Ginzburg‐Landau equation βˆ‚~__T__~__A__ = βˆ‚^2^~__X__~__A__ + __A__ βˆ’ __A__|__A__|^2^. To describe the global spatial behavior, an evolution equation for the local wave number __

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We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The anal